an employer pays three workers x, y,z a total amount of 6100 a month. x is paid 125% of the amount y is paid; which represent 80% of the amount z is paid. how much does x receive a month​

X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Step-by-step explanation:

Since an employer pays three workers X, Y and Z a total amount of $ 6100 a month, of which X is paid 125% of the amount Y is paid; which represents 80% of the amount Z is paid, to determine how much does X receive a month the following calculation must be performed:

X = 1.25Y

Y = 0.8Z

Z = Z

Z + Y + X = 6,100

Z + 0.8Z + (1.25 x 0.8Z) = 6,100

Z + 0.8Z + Z = 6,100

2.8Z = 6,100

Z = 6,100 / 2.8

Z = 2,178.57

Y = 0.8 x 2,178.57 = 1,742.85

X = 1,742.85 x 1.25 = 2,178.57

2,178.57 + 2,178.57 + 1,742.85 = X

6,099.99 = X

Thus, X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.